1217701124640 has 3456 divisors, whose sum is σ = 6234040350720. Its totient is φ = 211805798400.

The previous prime is 1217701124597. The next prime is 1217701124687. The reversal of 1217701124640 is 464211077121.

1217701124640 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 7 + 0 + 1 + 1 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1217701124595 and 1217701124604.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5317472046 + ... + 5317472274.

It is an arithmetic number, because the mean of its divisors is an integer number (1803831120).

Almost surely, 2^{1217701124640} is an apocalyptic number.

1217701124640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1217701124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117020175360).

1217701124640 is an abundant number, since it is smaller than the sum of its proper divisors (5016339226080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1217701124640 is a wasteful number, since it uses less digits than its factorization.

1217701124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

It can be divided in two parts, 1217701 and 124640, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 1217701124640 in words is "one trillion, two hundred seventeen billion, seven hundred one million, one hundred twenty-four thousand, six hundred forty".